R12.3′

Statistics

genus c	12, orientable
Schläfli formula c	{48,4}
V / F / E c	24 / 2 / 48
notes
vertex, face multiplicity c	2, 48
Petrie polygons	2, each with 48 edges
rotational symmetry group	96 elements.
full symmetry group	192 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r12s2r12  >
C&D number c	R12.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R12.3.

It is self-Petrie dual.
It is self-Petrie dual.

It can be 5-split to give R60.3′.
It can be 7-split to give R84.3′.
It can be built by 3-splitting S4:{16,4}.

It is the result of rectifying R12.11.

It is a member of series j.

List of regular maps in orientable genus 12.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd